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On the leading energy correction for the statistical model of the atom: Interacting case

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Abstract

Introducing the Hellmann-Weizsäcker functional for large angular momenta and the orbitals of the Bohr atom for small angular momenta we obtain an upper bound on the quantum mechanical ground state energy of atoms that proves Scott's conjecture.

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Authors and Affiliations

  1. Institut für Mathematische Physik, Carolo-Wilhelmina, Mendelssohnstrasse 3, D-3300, Braunschweig, Germany

    Heinz Siedentop & Rudi Weikard

Authors
  1. Heinz Siedentop
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  2. Rudi Weikard
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Communicated by B. Simon

Supported by the Deutsche Forschungsgemeinschaft

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Siedentop, H., Weikard, R. On the leading energy correction for the statistical model of the atom: Interacting case. Commun.Math. Phys. 112, 471–490 (1987). https://doi.org/10.1007/BF01218487

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  • DOI: https://doi.org/10.1007/BF01218487

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